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There are 150 students in 7th grade. After signing up for electives for next year, the counselor posted the following data:

Art - 65 students
Band - 70 students
Theatre - 50 students

Not all students signed up for an elective.
Display this data using Venn Diagrams.

I do not think there is enough information to do anything but draw three intersecting circles.
Am I missing something?

• To Reiny -

I don't believe the teacher's solution:
30 take just art
30 take just theater
45 take just band
15 take all three
15 take none
5 take art and band
5 take art and theater
5 take band and theater
What do you think?

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